Bihar Board Intermediate/12th Syllabus 2020

Conducting Authority

Bihar School Examination Board

Acronym

BSEB

Exam Name

Bihar 12th Board Examination 2020

Exam Mode 

Written Exam (Offline)

Number of Subjects

5 Subjects, 1 Optional Subjects

Official Website

biharboardonline.bihar.gov.in

1

Physics

2

Chemistry

3

Maths

4

Biology

Circular motion

Angular displacement, Angular velocity, and angular acceleration, Relation between linear velocity and angular velocity, Uniform circular motion, Radial acceleration, Centripetal, and centrifugal forces, Banking of roads, Vertical circular motion due to earth’s gravitation, Equation for velocity and energy at different positions of vertical circular motion. Kinematical equations for circular motion in analogy with linear motion.

Gravitation

Newton’s law of gravitation, Projection of satellite, Periodic time, Statement of Kepler’s laws of motion, Binding energy and escape velocity of a satellite, Weightlessness condition in orbit, Variation of ‘g’ due to altitude, latitude, depth and motion, the Communication satellite and its uses

Rotational motion

Definition of M.I., K.E. of the rotating body, Rolling motion, Physical significance of M.I., Radius of gyration, Torque, Principle of parallel and perpendicular axes, M.I. of some regularly shaped bodies about specific axes, Angular momentum and its conservation.

Oscillations

Explanation of periodic motion, S.H.M., Differential equation of linear S.H.M. Projection of U.C.M. on any diameter, Phase of S.H.M., K.E. and P.E. in S.H.M., Composition of two S.H.M.’s having same period and along the same line, Simple pendulum, Damped S.H.M.

Elasticity

A general explanation of elastic property, Plasticity, Deformation, Definition of stress and strain, Hooke’s law, Poisson’s ratio, Elastic energy, Elastic constants and their relation, Determination of ‘Y’, Behaviour of metal wire under increasing load, Applications of elastic behavior of materials.

Surface tension

Surface tension on the basis of molecular theory, Surface energy, Surface tension, Angle of contact, Capillarity and capillary action, Effect of impurity and temperature on surface tension.

Wave motion

Simple harmonic progressive waves, Reflection of transverse and longitudinal waves, Change of phase, Superposition of waves, Formation of beats, Doppler effect in sound. 8. Stationary waves Study of vibrations in a finite medium, Formation of stationary waves on a string, Study of vibrations of air columns, Free and Forced vibrations, Resonance.

Stationary waves

Study of vibrations in a finite medium, Formation of stationary waves on a string, Study of vibrations of air columns, Free and Forced vibrations, Resonance.

Kinetic theory of gases and Radiation

Wave theory of light, Huygens’ Principle, Construction of plane and spherical wavefront, Wavefront and wave normal, Reflection at the plane surface, Refraction at a plane surface, Polarisation, Polaroids, Plane polarized light, Brewster’s law, Doppler effect in light.

Interference and diffraction

Interference of light, Conditions for producing a steady interference pattern, Young’s experiment, Analytical treatment of interference bands, Measurement of wavelength by biprism experiment, Diffraction due to a single slit, Rayleigh’s criterion, Resolving power of a microscope and telescope, Difference between interference and diffraction.

Electrostatics Gauss’

Theorem proof and applications, a Mechanical force on the unit area of a charged conductor, Energy density of a medium, Dielectrics and electric polarization, Concept of the condenser, Capacity of parallel plate condenser, Effect of dielectric on capacity, Energy of charged condenser, Condensers in series and parallel, van-de Graaff generator.

Current electricity

Kirchhoff’s law, Wheatstone’s bridge, Meter bridge, Potentiometer.

Magnetic effects of electric current

Ampere’s law and its applications, Moving coil galvanometer, Ammeter, Voltmeter, Sensitivity of moving coil galvanometer, Cyclotron.

Magnetism

Circular current loop as a magnetic dipole, Magnetic dipole moment of revolving electron, Magnetisation and magnetic intensity, Dia-magnetism, Para-magnetism, Ferro-magnetism on the basis of domain theory, Curie temperature.

Electromagnetic inductions

Laws of electromagnetic induction, proof of, e = – dØ /dt Eddy currents, Self induction and mutual induction, Need for displacement current, Transformer, Coil rotating in uniform magnetic induction, Alternating currents, Reactance and impedance, LC oscillations (qualitative treatment only) Power in a.c circuit with resistance, inductance and capacitance, Resonant circuit, Wattless current, AC generator.

Unit 1: Solid State

Classification of solids based on different forces; molecular, ionic, covalent and metallic solids, amorphous and crystalline solids (elementary idea), unit cell in two dimensional and three dimensional lattices, calculation of density of unit cell, packing in solids, voids, number of atoms per unit cell in a cubic unit cell, point defects, electrical and magnetic properties, Band theory of metals, conductors and semiconductors and insulators and n and p-type semiconductors.

Unit 2: Solutions and colligative properties

Types of solutions, expression of concentration of solids in liquids, the solubility of gases in liquids, solid solutions, colligative properties –relative lowering of vapour pressure, Raoult’s law elevation of boiling point, depression of freezing point, osmotic pressure, determination of molecular masses using colligative properties, abnormal molecular mass. Van’t Hoff factor and calculations involving it.

Chemical thermodynamics and energetic

Concepts of system, types of systems, surroundings. Work, heat, energy, extensive and intensive properties, state functions. First law of thermodynamics – internal energy and enthalpy, Hess’ law of constant heat summation, enthalpy of bond dissociation, combustion, formation, atomization, sublimation. Phase transition, ionization and solution and dilution Introduction of entropy as a state function, free energy change for spontaneous and non-spontaneous processes, and equilibrium constant. Second and third law of thermodynamics.

Unit 4: Electrochemistry

Redox reactions, conductance in electrolytic solutions, specific and molar conductivity, variations of conductivity with concentration, Kohlrausch’s Law, electrolysis and laws of electrolysis (elementary idea), dry cell –electrolytic and galvanic cells; lead accumulator, EMF of a cell, standard electrode potential, Nernst equation and its application to chemical cells, fuel cells; corrosion. The relation between Gibb’s energy change and emf of a cell.

Chemical kinetics

Rate of reaction (average and instantaneous), factors affecting rate of reaction; concentration, temperature, catalyst; order and molecularity of a reaction; rate law and specific rate constant, integrated rate equations and half life (only for zero and first order reactions); concept of collision theory (elementary idea, no mathematical treatment). Activation energy, Arrhenius equation.

Unit 6: General principles and processes of isolation of elements

Principles and methods of extraction – concentration, oxidation, reduction electrolytic method, and refining; occurrence and principle of extraction of aluminum, copper, zinc and iron

Unit 7: p-Block elements

Group 15 elements: General introduction, electronic configuration, occurrence, oxidation states, trends in physical and chemical properties; nitrogen – preparation, properties and uses; compounds of nitrogen; preparation and properties of ammonia and nitric acid, oxides of nitrogen (structure only); Phosphorous-allotropic forms; compounds of phosphorous; preparation and properties of phosphine, halides (PCl3 ,PCl5 ) and oxoacids (elementary idea only).Group 16 elements: General introduction, electronic configuration, oxidation states, occurrence, trends in physical and chemical properties; dioxygen; preparation, properties, and uses;

Classification of oxides, simple oxides; Ozone.

Sulphur – allotropic forms; compounds of sulphur; preparation, properties and uses of sulphur dioxide; sulphuric acid; an industrial process of manufacture, properties and uses, oxoacids of sulphur (structures only).

Group 17 elements: General introduction, electronic configuration, oxidation states, occurrence, trends in physical and chemical properties; compounds of halogens; preparation, properties and uses of chlorine and hydrochloric acid, interhalogen compounds, oxoacids of halogens (structure only).

Group 18 elements: General introduction, electronic configuration. Occurrence, trends in physical and chemical properties, uses.

Unit 8: d and f Block Elements d-Block Elements

General introduction, electronic configuration, occurrence and characteristics of transition metals, general trends in properties of the first-row transition metals – metallic character, ionization enthalpy, oxidation states, ionic radii, colour, catalytic property, magnetic properties, interstitial compounds, alloy formation preparation and properties of K2 Cr2 O7 and KMnO4 .f-Block elements

Lanthanoids – Electronic configuration, oxidation states, chemical reactivity and lanthanoid contraction and its consequences.

Actinoids – Electronic configuration, oxidation states. Comparison with lanthanoids.

Unit 9: Coordination compounds

Coordination compounds – Introduction, ligands, coordination number, colour, magnetic properties and shapes, IUPAC nomenclature of mononuclear coordination compounds, bonding; Werner’s theory, VBT, CFT. isomerism, (structural and stereo) importance of coordination compounds (in qualitative analysis, extraction of metals and biological systems).

Unit 10: Halogen derivatives of alkanes (and arenes)

Haloalkanes: Nomenclature, nature of C-X bond, physical and chemical properties, mechanism of substitution reactions. Stability of carbocations, R-S and d-l configurationHaloarenes: Nature of C-X bond, substitution reactions (directive influence of halogen for monosubstituted compounds only) stability of carbocations, R-S and d-l configurations. Uses and environmental effects of – dichloromethane, trichloromethane, tetrachloromethane, iodoform, freons, DDT.

Unit 11: Alcohols, phenols and ethers Alcohols:

Nomenclature, methods of preparation, physical and chemical properties (of primary alcohols only); identification of primary, secondary and tertiary alcohols; mechanism of dehydration, uses of methanol and ethanol. Phenols: Nomenclature, methods of preparation, physical and chemical properties, acidic nature of phenol, electro phallic substitution reactions, uses of phenols.

Ethers: Nomenclature, methods of preparation, physical and chemical properties, uses.

Unit 12: Aldehydes, ketones and carboxylic acids Aldehydes and Ketones:

Nomenclature, nature of carbonyl group, methods of preparation. Physical and chemical properties, mechanism of nucleophilic addition, reactivity of alpha hydrogen in aldehydes; uses.Carboxylic acids: Nomenclature, acidic nature, methods of preparation, physical and chemical properties; uses.

Unit 13: Organic compounds containing nitrogen

Nitro compounds- General methods of preparation and chemical reactionsAmines: Nomenclature, classification, structure, methods of preparation, physical and chemical properties, uses, identification of primary, secondary and tertiary amines.

Section I – Botany

Unit 1: Genetics and Evolution

Chapter 1 – Genetic Basis of Inheritance, Chapter 2 – Gene: its nature, expression and regulation

Unit 2: Biotechnology and its application:

Chapter 3 – Biotechnology: Process and Application

Unit 3: Biology and Human Welfare

Chapter 4 - Enhancement in Food production plant Breeding Tissue Culture

• Concept of Cellular

• Totipotency, Requirements of Tissue Culture (in brief)

• Callus Culture, Suspension Culture

• Single Cell Protein. Biofortification

Chapter 5 – Microbes in Human Welfare

• Microbes in Household food processing

• Microbes in Industrial Production

• Microbes in Sewage Treatment

• Microbes in Biogas (energy) Production

• Microbes as Biocontrol Agents Microbes as Biofertilizers

Unit 4: Plant Physiology

Chapter 6 – Photosynthesis, Chapter 7 – Respiration

Unit 5: Reproduction in Organisms

Chapter 8 – Reproduction in PlantsModes of Reproduction (Asexual and Sexual)

Unit 6: Ecology and Environment

Chapter 9: Organisms and Environment - I: Habitat and Niche

Mathematical Logic

Statements – Introduction, sentences and statement, truth value of the statement, open sentences, compound statement, quantifier and quantified statements, logical connectives: conjunction, disjunction, negation, implication/ conditional, biconditional, truth tables of compound statements,

Matrices

Elementary transformation of a matrix revision of co-factor and minor, elementary row transformation, elementary column transformation, inverse of a matrix existence

Trigonometric functions

Trigonometric equations-general solution of trigonometric equation of the type : sinθ, = 0, cosθ = 0, tanθ = 0, sinθ = sinα, cosθ = cosα, tanθ = tanα, sin2 θ = sin2 α, cos2 θ = cos2 α, tan2 θ = tan2 α, acosθ + bsinθ = C solution of a triangle : polar coordinates, sine rule, cosine rule, projection rule, area of a triangle, application,

Pair of straight lines

Pair of lines passing through origin combined equation, homogeneous equation, theorem-the joint equation of a pair of lines passing through the origin and its converse, acute angle between the lines represented by ax2 +2hxy+by2 =0,

Circle

Tangent of a circle-equation of a tangent at a point to 1) standard circle, 2) general circle, condition of tangency only for line y = mx + c to the circle x2 + y2 = a2 , tangents to a circle from a point outside the circle, director circle, length of tangent segments, normal to a circle-equation of normal at a point

Continuity

Continuity of a function at a point: left-hand limit, right-hand limit, the definition of continuity of a function at a point, discontinuity of a function, types of discontinuity, algebra of continuous functions, continuity in interval-definition, continuity of some standard functions polynomial, rational, trigonometric, exponential and logarithmic function.

Differentiation

Revision- revision of derivative, relationship between continuity and differentiability-left hand derivative and right-hand derivative (need and concept), every differentiable function is continuous

Integration

Indefinite integrals-methods of integration, substitution method, integrals of the various types, integration by parts (reduction formulae are not expected), integration by partial fraction-factors involving repeated and non-repeated linear factors,

Applications of definite integral

Area under the curve: area bounded by curve and axis (simple problems), area bounded by two curves, volume of solid of revolution-volume of solid obtained by revolving the area under the curve about the axis (simple problems).

Differential equation

Definition-differential equation, order, degree, general solution, particular solution of differential equation, formation of differential equation-formation of differential equation by eliminating arbitrary constants

1

Business Study

2

Accountancy

3

Entrepreneurship

4

Economics

5

English

6

Hindi

Introduction to Partnership

1.1 Meaning and definitions

1.2 The Indian partnership Act 1932

1.3 Methods of capital accounts

• Fixed Capital Method

• Fluctuating Capital Method

Partnership Final Accounts

2.1 Introduction and Necessity of preparation of Final Accounts with the following adjustments.

• Closing stock

• Outstanding expenses

• Prepaid expenses

• Income received in advance

• Income receivable

• Bad debts

• Provision for doubtful debts

• Reserve for a discount on debtors and creditors

• Depreciation

• Interest on capital, drawings, and loans

• Interest on investment and loans

• Goods destroyed by fire/ accident (insured / uninsured)

• Goods were stolen

• Goods distributed as free samples

• Goods withdrawn by partners

• Unrecorded purchases and sales

• Capital expenditure included in revenue expenses and vice-versa

• Bills Receivable dishonored

• Bills payable dishonored

• Deferred expenses

• Capital receipts included in revenue. Receipts and vice-versa

• Commission to working partner/ Managers on the basis of Gross profit, Net profit, sales, etc.

Reconstitution of Partnership

3.1 Meaning and different ways of reconstitution

3.2 Admission of a partner

3.2.1 Meaning and Need

3.2.2 Capital brought by a new partner

3.2.3 New profit sharing ratio

3.2.4 Sacrifice ratio

3.2.5 Goodwill – Meaning, Methods of valuation and treatment of goodwill.

• Average profit method

• Super profit method

3.2.6 Adjustment of accumulated profits and losses.

3.2.7 Revaluation of assets and liabilities

3.2.8 Adjustment of capitals

3.3 Retirement / Death of a partner

3.3.1 Meaning, need

3.3.2 New ratio

3.3.3 Gain ratio

3.3.4 Treatment of goodwill

3.3.5 Adjustment of accumulated profits and losses

3.3.6 Revaluation of assets and liabilities

3.3.7 Adjustment of capital

3.3.8 Amount due to retiring partner

3.3.9 Death of partner

Dissolution of Partnership Firm

4.1 Simple dissolution, 4.2 Dissolution under Insolvency situation

Accounts of Not for Profit concerns

5.1 Introduction, meaning, and features of Not for Profit concerns.

5.2 Receipts and Payments Account meaning and features. The distinction between Income and Expenditure account.

5.3 Preparation of Income and Expenditure Account and Balance Sheet with the following

a) Additional Information

• Outstanding expenses and prepaid expenses of the current and previous year

• Accrued income and income received in advance

• Subscription received in advance and Subscription outstanding of the current and previous year

• Depreciation

• The capitalization of entrance fees.

• Creation of special funds out of donations

• Stock of stationery

• Opening balances of assets and liabilities

b) Important Items: Entrance fees, Subscriptions, Legacy, life membership fees, Sale of old assets, Scrap, Newspapers, Specific donation, General Donations, Specific Funds, Endowment fund

Single entry system

6.1 Introduction

• Meaning of single entry system.

• Difference between single entry and double-entry system.

6.2 Preparation of statements

6.3 Additional information.

• Additional capital

• Drawings

• Depreciation on fixed Asset

• Bad Debts

• Reserve for Doubtful Debts

• Undervaluation and Overvaluation of Assets and Liabilities

• Interest on loan

• Interest on capital

• Interest on Drawings

• Partners salary

• Outstanding / Unpaid expenses

• Prepaid Expenses/ Expenses paid in advance.

Bill of Exchange (Only Trade Bill)

7.1 Introduction, necessity, Meaning, Definition of Bill of Exchange

7.2 Draft/format of Bills, Parties to the Bill of Exchange, Acceptance of Bill, Terms of Bill, Days of Grace, Date of maturity, Due Date, Types of Bill

7.3 Honouring of Bill, Dishonour of Bill, Noting and Protesting of Bill, Notary Public and Noting Charges

7.4 Accounting Treatment of Bill by the Drawer/Holder and Drawee in
following cases:

• Retaining the Bill till due date. honor/dishonor, insolvency of the

  drawee/ acceptor

• Endorsement of the Bill, honor/dishonor and also insolvency of

  acceptor

• Discounting the Bill with the Bank honor/dishonor and insolvency.

• Sending the Bill to the Bank for collection, honor/dishonor, and insolvency

• Renewal of Bill-Reasons for Renewal of the Bill. Renewal of Bill with or

  without charging interest.

• Making a part payment of basic amount, interest and noting charges and

  drawing of new Bill.

• Honor/dishonor of New Bill

• Insolvency of the acceptor and settlement of his account

• Retirement of Bill

• Journal Entries and Ledger

Company Accounts Part-I Accounting for shares

8.1 Share and share capital, Meaning, Nature and Types.

8.2 Accounting for Share Capital: Issue and Allotment of Equity Shares. Private placement of shares. Public subscription of shares. Oversubscription and Under subscription of shares. The issue at Par and premium, and at discount, Calls in advance in arrears, Issue of shares for consideration other than cash.

8.3 Accounting treatment of forfeiture and re-issue

8.4 Disclosure of Share capital in the Company's Balance Sheet (Horizontal form)

Company Accounts Part-II Accounting for Debentures

9.1 Debentures: Meaning, Issue of debentures at par, at a premium and at discount

9.2 Issue of debentures for consideration other than cash. Interest on Debentures.

Analysis of financial statements

10.1 Financial statement Analysis: meaning, objectives and limitations.

10.2 Tools for financial statement Analysis-meaning of comparative statements, common-size statements, cash flow analysis, and Ratio analysis.

10.3 Accounting Ratios: Meaning of objectives and classification of Ratios.

10.4 Introductions to current ratio, liquid ratio, Gross profit ratio, operating profit ratio, and Net profit ratio. ROI, ROCI

Section A: Micro Economics

• Introduction to Micro Economics

• Consumers behaviour

• Demand

  • Analysis of Demand

  • Elasticity of Demand

• Analysis of Supply

• Types of Market & Price determination under Perfect competition

• Factors of Production

Section B: Macro Economics

• Introduction to Macro Economics8. National Income

• Determinants of Aggregates

• Money

• Commercial Bank

• Central Bank

• Public Economics

1.1 Statements1.2 Logical Connectives

1.3 Statement patterns and logical equivalence

1.4 Algebra of statements

1.5 Venn diagrams

Matrices

2.1 Definition and types of matrices2.2 Algebra of matrices

2.3 Inverse of a matrix

2.4 Solution of equations

Continuity

3.1 Continuity of a function at a point

4.1 Derivative of Inverse function4.2 Logarithmic Differentiation

4.3 Derivative of an implicit function

4.4 Derivative of a parametric function

4.5 Second order derivative

 Applications of Derivative 

5.1 Increasing and decreasing functions5.2 Maxima and minima

6.1 Definition of an integral6.2 Integral of standard functions

6.3 Rules of Integration

6.4 Methods of Integration

6.5 Integration by parts

 Definite Integrals 

7.1 Definite Integral7.2 Properties

7.3 Applications

PART – II

 Ratio, Proportion and Partnership 

Ratio, proportion and partnership

 Commission, Brokerage and Discount 

2.1 Commission and Brokerage

2.2 Discount

 Insurance and Annuity 

3.1 Insurance

3.2 Annuity

Demography

4.1 Introduction, Definition4.2 Uses of vital statistics

4.3 Measurements of Mortality

4.4 Life tables

 Bivariate Data and Correlation 

5.1 Bivariate frequency distribution

5.2 Karl Pearson's coefficient of correlation

5.3 Rank correlation

 Regression Analysis Introduction 

6.1 Equation of line of regression

6.2 Regression coefficients and their properties.

1

History

2

Political Science

3

Geography

4

Economics

5

Sociology

6

Psychology

7

Philosophy